Periodically
Find the amount if $7300 is invested at a rate of 7% for 3 years, compounded semiannually.
$8973.56
Find the amount if $4000 is invested at a rate of 3% for 4 years, compounded continuously.
$4509.99
Cindie invests some money at a rate of 2% compounded continuously. If after 6 years it is now $1691.25, how much did she initially invest?
$1500
A certain population can be modeled using the equation y=100(1.25)^t, where y is the population and t is in years.
What is the population after one week, rounded to the nearest whole number?
477
A thousand dollars is left in a bank savings account drawing 7% interest for 10 years. How much more money will you make if it is compounded monthly instead of quarterly?
$8.06
Find the amount if $1500 is invested at a rate of 7% for 3 years, compounded annually.
$1837.56
Find the amount if $10,000 is invested at a rate of 3% for 8 years, compounded continuously.
$12,712.49
What principal will amount to $3500 if invested at 4% interest compounded quarterly for 5 years?
$2868.41
A car's value can be modeled by the equation y=25575(0.65)^t, where y is the value of the car and t is the time in years.
How much is the car worth in 3 years?
$7023.53
Trudi is studying a population of fish in a pond. They started at a population of 900 and are increasing at a rate of 12% per year.
Jay is studying the same kind of fish in a different pond. They started at a population of 1200 are increasing at a rate of 9% per year.
Which pond has more fish in 10 years?
Pond 1: 2795 fish
Pond 2: 2841 fish
POND 2
Find the amount if $21,000 is invested at a rate of 13.6% for 4 years, compounded quarterly.
$35,854.85
Find the amount if $3500 is invested at a rate of 2% for 5 years, compounded continuously.
$3868.10
What principal will amount to $2500 if invested at 5% interest compounded semiannually for 7.5 years?
$1726.16
The population of a small town was 3600 in 2005. The population increases by 4% annually.
Is this growth or decay, and what is the "b" value?
Growth, b=1.04
In 2050, Nell will put $10,000 in a retirement account with the same rate and compounding.
Who has more money in 2060?
Tre: $15,883.06
Nell: $13,350.30
TRE HAS MORE.
Find the amount if $1540 is invested at a rate of 2% for 1 year, compounded monthly.
$1571.08
Find the amount if $8911 is invested at a rate of 7.71% for 20 years, compounded continuously.
$41,649.38
Ty invests some money at a rate of 4.5% compounded continuously. If after 10 years it is now $13567.91, how much did they initially invest?
$2275
You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year.
Is this growth or decay, and what is the "b" value?
Decay, b=0.9
A mosquito population is out of control! It starts with 100,000 mosquitos. 2000 frogs are introduced that begin eating the mosquitos. The frogs reproduce at a rate of 25% per year and eat the mosquitos at a rate of 15% per year (after accounting for the reproduction rate).
When will there be more frogs than mosquitos?
In year 11, there will be 23,283 frogs and 16,734 mosquitos.
Find the amount if $623 is invested at a rate of 9.5% for 6 months, compounded daily.
Find the amount if $8634 is invested at a rate of 2.67% for 6 years, compounded continuously.
$10,134.12
Xander invests $16,000 in an account that compounds annually. In 4 years, the account has $18717.74. What was the rate of interest?
4%
The yearly profits of a company at the end of 2020 was $25,000. The profits have been decreasing by 16% per year.
If this rate continues, in what year will the yearly profits drop below $5000?
In 2030.
(At the end of 2029, the profits are $5205.40 and at the end of 2030, the profits are $4372.50)
In a certain forest, there are 20 rabbits. They are increasing at a rate of 20% per year.
In the same forest, there are 40 wolves. They are decreasing at a rate of 5% per year.
After how many years will there be about the same number of rabbits and wolves?
In 4 years, there will be 34 rabbits and 34 wolves.